Question

How many cubes of edge 4 cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respectively

Answer 1

The volume of a cuboid formed with the measures $20$ cm $\times 18$ cm $\times 16$ cm
$V_1=l\times b\times h$
$=20\times 18\times 16$
$\text{Volume of a cube}\left(V_2\right)=s^3$
s = 4 cm (given)
$\therefore V_2=(s{)}^3=(4{)}^3=4\times 4\times 4{\text{cm}}^3$
$\therefore \text{No.of cubes are required}$
$\frac{V_1}{V_2}=\frac{(20\times 18\times 16)}{(4\times 4\times 4)}$
$=90$